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> ## traditional MM Likert outcome (coder race correlated w photos observed)
> ## only target photos used for analysis
> ##
> ## August 9, 2019
> ##
> ## Kevin Quinn
> ## University of Michigan
> ##
> 
> library(MCMCpack)
Loading required package: coda
Loading required package: MASS
##
## Markov Chain Monte Carlo Package (MCMCpack)
## Copyright (C) 2003-2019 Andrew D. Martin, Kevin M. Quinn, and Jong Hee Park
##
## Support provided by the U.S. National Science Foundation
## (Grants SES-0350646 and SES-0350613)
##
> set.seed(16546)
> 
> mydata <- read.csv("../ScaleRaceSpring2017clean.csv")
> 
> ## subset data
> mydata <- mydata[(mydata$condition %in% c("P2B", "P2W") & mydata$R.race == "Black") | (mydata$condition %in% c("P1B", "P1W") & mydata$R.race == "White"),]
> 
> 
> ## keep target responses and photo IDs but nothing else
> target.inds <- c(6, 7, 10, 12, 15, 17, 19, 20, 22, 23)
> keep.vars <- c(paste("X", target.inds, "_Q329", sep=""),
+                paste("X", target.inds, "a.id", sep=""))
> 
> mydata.sub <- mydata[, keep.vars]
> 
> 
> 
> 
> ## reshape into long format
> mydata.sub.long <- reshape(mydata.sub, direction="long",
+                            varying=list(c(1:10), c(11:20)),
+                            v.names=c("Y", "photoID"),
+                            ids=rownames(mydata.sub))
> 
> ## keep only obs with non-missing values for MM
> mydata.sub.long <- na.omit(mydata.sub.long)
> 
> mydata.sub.long <- mydata.sub.long[sample(1:nrow(mydata.sub.long),
+                                           size=1000, replace=FALSE),]
> 
> 
> cat("\n\nN =", nrow(mydata.sub.long), "\n\n") 


N = 1000 

> 
> 
> b1.M2.out <- MCMCoprobit(Y ~ as.factor(photoID), data=mydata.sub.long,
+                          burnin=50000, mcmc=1000000, thin=50, tune=0.06,
+                          verbose=10000, seed=426851
+                          )


MCMCoprobit iteration 1 of 1050000 
beta = 
   4.02443
   0.72495
   4.36127
  -0.87114
   1.88269
   1.73799
   0.99819
  -0.18902
   1.48341
   2.13258
  -0.41185
   2.02524
   0.08410
   0.67874
   1.08422
   2.83955
   1.79173
  -0.50823
   0.18515
   0.29036
   0.97339
   2.09324
   2.46558
   1.19252
  -3.98850
  -2.84632
  -2.82319
  -4.10089
  -2.11079
  -2.30854
  -4.06464
  -3.53083
  -4.72292
  -4.04951
  -3.91701
  -4.10257
  -4.71847
  -5.19059
  -3.69185
  -4.86138
  -2.02168
  -3.88820
  -3.03545
  -2.53818
  -4.26420
  -4.35350
  -2.21821
  -3.24148
Metropolis acceptance rate for gamma = 0.00000



MCMCoprobit iteration 10001 of 1050000 
beta = 
   3.46676
   0.96434
   4.26498
  -0.61563
   1.64573
   2.42748
   0.71589
   0.04920
   1.80921
   2.42546
   0.37033
   2.43223
   0.14038
   0.93991
   1.91364
   3.11521
   1.69542
  -0.43174
   0.74352
   0.81669
   1.65895
   2.16290
   2.57040
   1.24651
  -3.19090
  -1.77103
  -2.69922
  -2.92100
  -1.63014
  -1.83597
  -3.33609
  -3.34454
  -3.77619
  -3.69282
  -3.09773
  -3.11379
  -4.17844
  -4.55953
  -3.20363
  -3.86362
  -2.26143
  -3.49131
  -3.11775
  -2.51877
  -3.57932
  -4.08022
  -1.98279
  -2.78039
Metropolis acceptance rate for gamma = 0.25107



MCMCoprobit iteration 20001 of 1050000 
beta = 
   4.13759
   1.26582
   4.06025
  -0.77181
   1.78792
   1.74369
   1.23918
  -0.55451
   1.76654
   2.67036
  -0.59058
   2.08717
   0.36748
   0.51588
   1.60802
   2.82788
   1.62073
  -0.64323
   0.76125
   0.24788
   0.84575
   1.99180
   2.53073
   0.88107
  -3.94116
  -2.71853
  -3.20271
  -4.04798
  -1.44452
  -2.49790
  -4.07183
  -3.23924
  -5.21349
  -4.43080
  -4.31460
  -3.96030
  -5.02032
  -5.67638
  -4.43883
  -4.98210
  -2.39808
  -3.76341
  -3.49500
  -2.69720
  -4.84895
  -4.53431
  -2.62608
  -3.65748
Metropolis acceptance rate for gamma = 0.24689



MCMCoprobit iteration 30001 of 1050000 
beta = 
   4.05316
   0.36326
   3.32913
  -1.01971
   1.77273
   1.07351
   0.81785
  -0.87531
   1.14872
   2.05441
  -0.36599
   1.67724
  -0.40599
  -0.04526
   0.49345
   2.27380
   1.05712
  -0.54202
  -0.23129
  -0.55689
   0.57149
   1.09332
   1.97913
   0.43804
  -3.77025
  -2.94983
  -2.82747
  -3.74809
  -2.26221
  -2.63057
  -4.47129
  -3.45120
  -4.84438
  -4.00104
  -3.74583
  -4.05341
  -5.02382
  -5.00230
  -3.64575
  -4.35359
  -2.17890
  -3.92104
  -3.07763
  -2.63392
  -4.08140
  -4.87101
  -2.74615
  -3.64847
Metropolis acceptance rate for gamma = 0.24693



MCMCoprobit iteration 40001 of 1050000 
beta = 
   3.78582
   0.85217
   3.76082
  -1.07912
   1.49779
   1.97216
   0.72257
  -0.66370
   1.66885
   2.63105
   0.05048
   2.72870
   0.00774
   0.29912
   0.73749
   2.61225
   1.26049
  -0.53565
   0.73207
   0.32754
   0.75668
   1.88008
   2.06191
   0.43324
  -3.70524
  -2.90521
  -2.64104
  -3.77867
  -1.79674
  -2.26023
  -3.63794
  -3.74386
  -4.87993
  -3.99151
  -4.28164
  -3.51654
  -4.68004
  -4.97063
  -3.74490
  -4.64645
  -2.36610
  -3.45243
  -2.81445
  -2.59636
  -3.94250
  -4.55953
  -2.74381
  -3.58767
Metropolis acceptance rate for gamma = 0.24762



MCMCoprobit iteration 50001 of 1050000 
beta = 
   4.25132
   0.43518
   3.48605
  -1.06018
   1.53027
   1.31107
   0.57126
  -0.96355
   1.28690
   1.80192
  -0.61793
   1.65916
   0.08297
   0.32504
   0.53548
   2.29209
   1.10943
  -1.23824
   0.12309
  -0.40740
   0.21420
   1.17495
   2.22894
   0.16469
  -3.96579
  -3.42742
  -3.20783
  -3.69108
  -1.69831
  -3.05381
  -4.42010
  -4.13990
  -5.03174
  -4.09853
  -3.82160
  -4.27323
  -4.61488
  -5.70243
  -4.07748
  -4.14685
  -2.27866
  -4.20547
  -3.71124
  -2.72647
  -4.44501
  -4.15792
  -2.68360
  -3.68609
Metropolis acceptance rate for gamma = 0.24730



MCMCoprobit iteration 60001 of 1050000 
beta = 
   3.99093
   0.74484
   4.24509
  -1.05428
   1.76749
   1.66087
   1.07125
  -0.15637
   1.42444
   2.87843
   0.15238
   2.28317
   0.33891
   0.59402
   1.23991
   2.64175
   1.53822
  -0.55850
   0.36718
   0.77888
   1.14041
   1.44130
   2.16105
   0.38872
  -3.88506
  -2.94973
  -2.31925
  -4.12848
  -1.37983
  -1.94190
  -4.13469
  -4.01379
  -4.60376
  -4.04478
  -3.90718
  -4.09494
  -4.86085
  -5.82116
  -3.86893
  -4.74532
  -2.18538
  -3.94387
  -3.20501
  -2.34786
  -4.19752
  -4.97183
  -2.51825
  -3.40760
Metropolis acceptance rate for gamma = 0.24585



MCMCoprobit iteration 70001 of 1050000 
beta = 
   4.07105
   0.34692
   3.91149
  -1.47034
   0.81256
   1.23874
   0.63816
  -0.92147
   1.29645
   2.40936
  -0.89626
   2.13388
  -0.58609
   0.44491
   1.05633
   2.25064
   1.46809
  -1.62690
   0.16949
  -0.19532
   0.18214
   1.49154
   2.15813
   0.36267
  -3.70997
  -3.00501
  -3.25596
  -3.56752
  -2.07729
  -2.55617
  -4.40699
  -3.51939
  -4.67029
  -4.55984
  -4.23354
  -3.82613
  -4.79323
  -5.76777
  -3.72225
  -4.61953
  -3.24397
  -4.04055
  -3.09012
  -3.03924
  -4.79383
  -4.08662
  -2.87893
  -3.63394
Metropolis acceptance rate for gamma = 0.24468



MCMCoprobit iteration 80001 of 1050000 
beta = 
   3.62943
   0.97357
   4.21884
  -0.63729
   2.11971
   1.84294
   1.18493
  -0.61407
   2.05488
   2.54694
  -0.23305
   2.61379
   0.46173
   0.68003
   1.20830
   2.59511
   2.04869
  -0.45228
   0.56145
   0.72471
   1.18335
   1.88310
   2.53487
   0.42980
  -2.92154
  -2.80976
  -2.86487
  -3.58405
  -1.59189
  -2.46963
  -3.01229
  -2.73159
  -4.24691
  -3.57611
  -3.82811
  -3.78769
  -4.21215
  -4.53007
  -3.89440
  -4.11799
  -2.10597
  -3.68721
  -2.87648
  -2.59867
  -4.15829
  -3.69877
  -2.49986
  -3.19790
Metropolis acceptance rate for gamma = 0.24437



MCMCoprobit iteration 90001 of 1050000 
beta = 
   3.94358
   0.93068
   3.49730
  -0.95022
   1.73402
   1.99939
   1.17215
  -0.28150
   1.97947
   2.39081
  -0.24574
   2.58677
  -0.16251
   0.63447
   1.10326
   3.04744
   1.82794
  -0.63581
   0.37889
   0.60223
   1.15316
   1.80426
   2.31684
   1.27260
  -3.43984
  -2.64863
  -2.95751
  -3.37374
  -1.78744
  -2.16321
  -4.09406
  -3.65144
  -4.89111
  -3.73551
  -3.87924
  -3.63447
  -4.68339
  -4.39478
  -3.65581
  -4.29534
  -2.50933
  -3.78863
  -3.01970
  -2.48961
  -3.99822
  -4.01395
  -2.17174
  -3.60979
Metropolis acceptance rate for gamma = 0.24331



MCMCoprobit iteration 100001 of 1050000 
beta = 
   3.66317
   0.61263
   3.84787
  -0.77274
   1.77361
   1.65168
   1.09044
  -0.15004
   1.40869
   2.79568
  -0.06748
   2.60874
  -0.24538
   0.57290
   1.20291
   2.74607
   1.38480
  -1.15107
   0.26508
   0.33069
   0.82179
   1.82963
   2.00458
   0.60981
  -3.00540
  -2.65107
  -2.65684
  -3.73779
  -1.38402
  -2.29978
  -4.08187
  -3.43424
  -4.31206
  -3.27758
  -3.84394
  -3.20506
  -4.87821
  -4.46776
  -3.44117
  -3.78528
  -2.15222
  -3.76182
  -3.11375
  -2.39983
  -3.68283
  -3.66668
  -2.74151
  -3.22050
Metropolis acceptance rate for gamma = 0.24349



MCMCoprobit iteration 110001 of 1050000 
beta = 
   3.98915
   0.32391
   3.81712
  -0.80279
   1.62404
   1.59256
   0.84249
  -0.38083
   1.18421
   2.06584
  -0.35024
   2.67101
   0.13494
   0.55735
   1.26805
   2.70557
   1.31594
  -0.93949
  -0.03820
  -0.01938
   0.82650
   1.81545
   2.23416
   0.13808
  -3.31884
  -2.46348
  -2.92114
  -4.33685
  -1.73728
  -2.35113
  -4.31531
  -4.18577
  -4.45255
  -4.36906
  -3.84649
  -3.58440
  -4.87040
  -4.84173
  -4.13578
  -3.80857
  -2.07184
  -3.68055
  -3.49588
  -2.95556
  -4.13104
  -4.35528
  -2.67138
  -3.71575
Metropolis acceptance rate for gamma = 0.24431



MCMCoprobit iteration 120001 of 1050000 
beta = 
   3.73337
   0.97740
   3.93469
  -0.92460
   1.61344
   1.17519
   0.12787
  -0.42174
   1.74445
   2.64442
   0.18252
   2.26937
   0.24293
   0.53664
   0.70267
   2.58288
   1.09167
  -1.07363
   0.52487
   0.80475
   0.71109
   2.05730
   2.24510
   0.52526
  -3.67640
  -2.79417
  -3.23214
  -3.69452
  -1.63112
  -2.45146
  -4.07461
  -3.62916
  -4.71257
  -3.92839
  -3.61642
  -3.82121
  -4.28044
  -5.69626
  -3.99124
  -4.34488
  -2.26136
  -3.29194
  -2.73066
  -2.58254
  -3.54665
  -4.27745
  -2.40638
  -3.31863
Metropolis acceptance rate for gamma = 0.24398



MCMCoprobit iteration 130001 of 1050000 
beta = 
   3.91932
   0.77090
   4.30732
  -0.68747
   2.54027
   1.14434
   1.24926
  -0.02917
   2.06599
   3.02942
   0.09144
   2.46403
   0.16997
   0.48123
   1.19916
   2.76730
   1.49585
  -0.30862
   0.99246
   0.01288
   0.85183
   1.64118
   2.45676
   0.90845
  -3.61884
  -2.60656
  -3.56812
  -3.54727
  -1.81525
  -2.74176
  -4.12198
  -3.70694
  -4.71357
  -4.23569
  -3.82488
  -3.53715
  -4.84696
  -5.48632
  -3.66488
  -3.80167
  -1.94349
  -3.43452
  -2.85145
  -2.59019
  -3.80049
  -3.67493
  -2.48560
  -3.51440
Metropolis acceptance rate for gamma = 0.24427



MCMCoprobit iteration 140001 of 1050000 
beta = 
   3.56597
   1.23957
   4.72062
  -0.22245
   2.53501
   1.45670
   1.31544
   0.57397
   2.46300
   2.71481
   0.14668
   2.78417
   0.44148
   0.82048
   1.90981
   2.98606
   1.85227
  -0.03161
   0.82219
   0.99913
   1.07266
   2.35720
   2.88229
   1.05458
  -3.04460
  -2.09937
  -2.50561
  -3.45295
  -0.88508
  -2.15186
  -3.50156
  -3.19086
  -4.03361
  -4.23809
  -3.46796
  -3.37256
  -4.87906
  -4.65456
  -3.52607
  -3.96933
  -2.55127
  -3.10331
  -2.43489
  -2.28955
  -4.44144
  -3.71916
  -1.88174
  -3.57196
Metropolis acceptance rate for gamma = 0.24433



MCMCoprobit iteration 150001 of 1050000 
beta = 
   3.97024
   0.65546
   3.68368
  -0.88619
   1.51580
   1.64503
   0.46790
  -0.22665
   1.48072
   2.65129
  -0.41587
   2.81798
  -0.07615
   0.39861
   1.08679
   2.80765
   1.49259
  -0.75778
   0.23003
   0.12817
   0.95452
   1.60677
   2.25639
   0.66916
  -3.73632
  -2.57575
  -3.09818
  -3.70835
  -1.63625
  -2.48144
  -3.42158
  -3.60702
  -4.46798
  -4.64279
  -4.12085
  -3.96213
  -4.96402
  -6.75145
  -3.86559
  -4.12524
  -2.16428
  -3.62694
  -2.89475
  -2.13500
  -3.95312
  -3.63187
  -2.31593
  -3.90216
Metropolis acceptance rate for gamma = 0.24509



MCMCoprobit iteration 160001 of 1050000 
beta = 
   3.71196
   0.83192
   3.70668
  -0.99421
   0.88348
   1.58362
   1.07120
   0.14937
   1.58159
   2.32979
   0.04970
   1.72035
  -0.22656
   0.68208
   1.25890
   2.67972
   1.57021
  -0.77018
   0.18506
   0.43223
   0.70312
   2.05293
   1.89966
   0.38918
  -3.32242
  -2.86822
  -2.92090
  -3.63128
  -1.70937
  -2.39060
  -3.99176
  -2.80704
  -4.48616
  -3.99510
  -3.65363
  -3.82353
  -4.73247
  -5.01579
  -3.29637
  -3.82012
  -2.67629
  -3.69983
  -2.57862
  -2.72616
  -4.15945
  -4.38309
  -1.97341
  -3.58755
Metropolis acceptance rate for gamma = 0.24475



MCMCoprobit iteration 170001 of 1050000 
beta = 
   4.06530
   0.61689
   3.49986
  -1.04791
   1.99268
   1.59512
   0.30909
  -0.71915
   1.58274
   1.90675
  -0.11884
   1.92912
  -0.35369
   0.16432
   0.73482
   2.54582
   1.29869
  -0.94996
   0.79462
   0.01082
   0.60308
   1.92855
   1.77422
   0.61983
  -3.57228
  -3.30725
  -3.11404
  -3.67321
  -2.02799
  -2.67078
  -4.18739
  -3.49971
  -4.94577
  -4.33360
  -4.41986
  -3.77909
  -4.78896
  -5.13245
  -3.81163
  -4.37687
  -2.70471
  -4.29311
  -3.39287
  -2.51102
  -4.27252
  -5.08390
  -2.52153
  -3.57439
Metropolis acceptance rate for gamma = 0.24413



MCMCoprobit iteration 180001 of 1050000 
beta = 
   4.08365
   0.23097
   3.29250
  -1.78795
   0.84944
   1.38649
   0.72576
  -0.55362
   1.11273
   1.73332
  -0.19973
   1.83074
  -0.36293
   0.47643
   0.33371
   1.78874
   1.10728
  -1.43105
  -0.06712
  -0.40411
   0.18929
   1.23199
   1.79931
   0.62218
  -3.93940
  -2.96345
  -2.98856
  -4.15054
  -1.76032
  -2.90288
  -4.42233
  -3.94536
  -4.55546
  -4.42101
  -3.94755
  -4.24781
  -5.29868
  -5.45615
  -4.14941
  -4.37648
  -2.65659
  -3.66256
  -3.15979
  -2.74465
  -4.65468
  -4.66519
  -2.73174
  -4.35533
Metropolis acceptance rate for gamma = 0.24379



MCMCoprobit iteration 190001 of 1050000 
beta = 
   3.90305
   0.43310
   3.59234
  -1.15543
   1.79764
   1.19646
   0.47297
  -0.90046
   1.31939
   2.22922
  -0.49392
   2.29164
  -0.26593
   0.17291
   1.31761
   2.27314
   1.41895
  -1.25501
   0.31204
   0.32525
   0.26265
   1.45716
   2.02348
   0.62246
  -3.38705
  -2.86464
  -3.18845
  -3.92232
  -1.86780
  -2.94713
  -3.95680
  -4.52082
  -4.77870
  -4.13330
  -3.54291
  -3.89041
  -4.71620
  -5.48628
  -3.97027
  -4.52320
  -2.41780
  -3.34060
  -3.26417
  -2.74071
  -3.90868
  -4.24994
  -2.46815
  -3.74899
Metropolis acceptance rate for gamma = 0.24409



MCMCoprobit iteration 200001 of 1050000 
beta = 
   4.26773
   0.69470
   3.91117
  -1.33736
   1.57673
   1.68575
   0.70630
  -0.59989
   1.80535
   1.98120
  -0.34305
   2.26736
   0.02661
   0.65825
   1.23062
   3.06986
   1.43166
  -0.74677
   0.21678
   0.19191
   0.87656
   1.78123
   2.38557
   0.73205
  -3.95912
  -3.05965
  -2.84843
  -4.30610
  -1.88181
  -2.97567
  -3.74752
  -3.90033
  -4.67666
  -4.27803
  -3.86924
  -4.00544
  -5.23401
  -5.78731
  -3.95060
  -4.79091
  -2.46280
  -4.31616
  -3.41680
  -2.87433
  -4.49653
  -4.34624
  -2.92604
  -3.65092
Metropolis acceptance rate for gamma = 0.24381



MCMCoprobit iteration 210001 of 1050000 
beta = 
   3.99947
   0.74360
   3.81107
  -1.03829
   2.49307
   1.88096
   0.50504
  -0.48064
   1.64860
   2.20502
  -0.50662
   2.43511
  -0.19658
   0.52278
   1.13560
   2.73286
   1.61001
  -1.00024
   0.27434
   0.21285
   0.44305
   2.09122
   2.21041
   0.53968
  -3.73783
  -2.96115
  -2.77969
  -3.92475
  -1.22460
  -2.53168
  -3.91285
  -3.72287
  -4.50783
  -3.80732
  -3.87612
  -3.91914
  -4.43888
  -5.09736
  -3.55493
  -4.39670
  -2.13002
  -4.29803
  -3.19401
  -3.05796
  -3.79898
  -4.53721
  -2.66286
  -3.57583
Metropolis acceptance rate for gamma = 0.24370



MCMCoprobit iteration 220001 of 1050000 
beta = 
   4.17758
   0.66130
   3.36561
  -0.91962
   1.54362
   1.35528
   0.61630
  -0.89992
   1.84204
   2.44676
  -0.37320
   2.07732
   0.35930
   0.80584
   1.11733
   2.08614
   1.19652
  -1.36546
  -0.00440
  -0.20003
   0.75111
   1.60265
   2.10798
   0.66843
  -3.21393
  -2.89753
  -3.56260
  -4.13181
  -1.90720
  -2.62447
  -4.43328
  -3.88044
  -4.54785
  -4.56778
  -3.69551
  -3.93132
  -4.68877
  -4.86028
  -4.16920
  -4.65018
  -2.44540
  -3.82945
  -2.89525
  -2.60645
  -4.37799
  -4.94432
  -2.19830
  -4.30895
Metropolis acceptance rate for gamma = 0.24386



MCMCoprobit iteration 230001 of 1050000 
beta = 
   4.15711
   0.25619
   3.05356
  -1.25090
   1.25626
   1.40034
   0.64867
  -0.57199
   1.70107
   2.02811
  -0.06834
   1.80758
  -0.08686
   0.31387
   0.83648
   2.22982
   1.00914
  -0.89815
   0.07938
  -0.05511
   0.58046
   1.20352
   1.90136
   0.64571
  -3.85317
  -2.69469
  -3.05259
  -3.95222
  -2.43794
  -3.13302
  -4.37012
  -3.89267
  -4.56963
  -4.47777
  -4.26076
  -3.89653
  -4.84009
  -5.03515
  -3.98433
  -4.40052
  -3.60398
  -3.59010
  -3.25500
  -2.51143
  -4.32225
  -3.85383
  -2.84739
  -4.26589
Metropolis acceptance rate for gamma = 0.24358



MCMCoprobit iteration 240001 of 1050000 
beta = 
   4.47268
   0.22860
   3.55702
  -1.55707
   1.32021
   0.93880
   0.12830
  -1.14199
   1.35762
   2.51668
  -0.70066
   2.20167
  -0.63966
   0.04098
   0.78151
   2.03879
   1.15550
  -0.70560
   0.25003
  -0.05476
   1.01651
   1.47284
   1.86271
   0.51220
  -4.14606
  -3.62703
  -3.41882
  -4.37766
  -1.77670
  -3.10955
  -4.23732
  -4.42362
  -5.08422
  -5.04672
  -4.68208
  -4.40432
  -5.24263
  -6.83838
  -4.07195
  -5.02674
  -2.53767
  -4.49162
  -3.48072
  -3.46909
  -5.15443
  -4.67472
  -3.14686
  -4.12795
Metropolis acceptance rate for gamma = 0.24368



MCMCoprobit iteration 250001 of 1050000 
beta = 
   3.69282
   0.80369
   3.81963
  -1.09611
   1.82669
   1.74887
   0.82410
  -0.35592
   1.52608
   2.31685
   0.03029
   2.45004
  -0.22459
   0.55595
   0.87762
   2.57166
   0.93938
  -0.49973
   0.03721
   0.29710
   0.99011
   1.72693
   2.36300
   0.58038
  -3.17842
  -2.87202
  -2.90165
  -3.32644
  -1.71393
  -2.31550
  -4.19012
  -3.41357
  -3.97207
  -3.90240
  -3.49840
  -3.51939
  -4.45914
  -5.10092
  -4.39165
  -3.87949
  -2.68672
  -3.61040
  -2.83324
  -2.32656
  -4.57502
  -3.64875
  -2.49037
  -3.52836
Metropolis acceptance rate for gamma = 0.24401



MCMCoprobit iteration 260001 of 1050000 
beta = 
   3.85694
   0.49842
   3.29407
  -1.63934
   1.77472
   1.34555
   0.36236
  -0.45891
   1.21174
   2.03868
  -0.62213
   2.13197
  -0.04487
   0.45184
   1.01140
   2.14258
   1.06694
  -1.21119
   0.05718
   0.19252
   0.45186
   1.67145
   2.27473
   0.46834
  -3.38368
  -2.81457
  -3.27665
  -4.13041
  -2.30672
  -2.64809
  -3.80276
  -3.82290
  -4.50498
  -4.19468
  -3.49309
  -3.69938
  -4.55070
  -5.86433
  -3.95371
  -4.66647
  -2.41705
  -4.01202
  -2.94281
  -2.56297
  -4.05400
  -4.19092
  -2.35679
  -4.02177
Metropolis acceptance rate for gamma = 0.24379



MCMCoprobit iteration 270001 of 1050000 
beta = 
   3.92271
   0.78118
   3.36020
  -1.43120
   1.80251
   1.69557
   0.61228
  -0.39523
   1.10263
   1.74241
  -0.12684
   2.13196
   0.05890
   0.45681
   1.13139
   2.38449
   1.24024
  -0.87462
  -0.03875
   0.39541
   0.83899
   1.29082
   2.55400
   0.45780
  -3.99483
  -3.13229
  -3.02575
  -3.46690
  -2.16249
  -2.46988
  -4.34054
  -3.97009
  -4.23258
  -4.49427
  -3.77562
  -3.61775
  -4.29482
  -5.43400
  -3.49259
  -4.61076
  -2.13476
  -3.46491
  -3.15640
  -2.37847
  -4.00340
  -4.09968
  -2.47741
  -3.82335
Metropolis acceptance rate for gamma = 0.24386



MCMCoprobit iteration 280001 of 1050000 
beta = 
   3.94017
   0.87295
   4.21062
  -1.25628
   1.88262
   1.84878
   0.80456
  -0.15493
   1.43938
   2.08361
  -0.17921
   1.85713
  -0.22555
   0.56612
   1.02975
   2.23143
   1.27134
  -0.72207
  -0.02232
   0.11846
   0.88816
   1.91571
   2.18748
   0.84599
  -3.36082
  -3.00242
  -2.41387
  -3.36842
  -1.64073
  -2.37811
  -3.57329
  -3.28012
  -4.36876
  -4.39344
  -3.59051
  -3.82423
  -3.89614
  -5.57844
  -3.85376
  -4.42941
  -2.13620
  -3.75376
  -2.92729
  -2.45522
  -4.52923
  -3.40759
  -2.65075
  -3.50436
Metropolis acceptance rate for gamma = 0.24385



MCMCoprobit iteration 290001 of 1050000 
beta = 
   3.45813
   1.04600
   4.02419
  -0.57100
   1.79833
   1.87565
   1.05719
   0.01513
   1.47388
   2.50279
   0.41732
   2.70244
   0.24308
   0.81105
   1.22376
   2.69527
   1.56035
  -0.33276
   0.45837
   0.81010
   0.66750
   1.93358
   2.84050
   0.88564
  -3.05543
  -2.39524
  -2.57061
  -3.31530
  -1.22291
  -2.13583
  -3.46454
  -3.43914
  -3.97952
  -4.02097
  -3.08841
  -3.16959
  -4.41842
  -4.64915
  -3.06750
  -3.55998
  -2.14345
  -3.54453
  -2.49852
  -2.23258
  -3.89452
  -3.49979
  -1.85843
  -3.30819
Metropolis acceptance rate for gamma = 0.24374



MCMCoprobit iteration 300001 of 1050000 
beta = 
   4.02625
   0.91429
   4.07860
  -1.20168
   1.31918
   1.03839
   0.31377
  -0.48387
   1.51215
   2.41450
  -0.07983
   2.12342
   0.21450
   0.41561
   0.70076
   2.31739
   1.04662
  -0.84294
   0.05686
  -0.21588
   0.32224
   1.58394
   2.13940
   0.65378
  -3.99549
  -2.88867
  -3.02397
  -3.52847
  -1.58867
  -2.59772
  -3.89367
  -3.30524
  -5.04464
  -4.16742
  -4.32854
  -4.08351
  -4.41947
  -6.16487
  -4.19467
  -5.12445
  -2.68046
  -4.34814
  -3.14606
  -2.74947
  -4.10105
  -3.40730
  -2.41919
  -3.40742
Metropolis acceptance rate for gamma = 0.24375



MCMCoprobit iteration 310001 of 1050000 
beta = 
   4.20750
   0.19339
   3.44858
  -0.91328
   1.33068
   1.16353
   0.51003
  -0.81310
   1.03405
   1.61349
  -0.45701
   1.63863
  -0.55326
   0.08176
   0.53329
   2.10959
   1.15926
  -1.70246
  -0.31190
  -0.00802
  -0.21516
   1.33054
   1.46515
   0.52518
  -3.44850
  -2.71007
  -3.13876
  -4.22568
  -2.62531
  -2.67261
  -4.38490
  -3.37226
  -5.20129
  -4.25753
  -4.18027
  -4.09081
  -5.17148
  -5.85110
  -4.13810
  -4.33736
  -2.37055
  -4.04010
  -3.56680
  -2.95600
  -3.97055
  -4.19032
  -2.64955
  -3.91713
Metropolis acceptance rate for gamma = 0.24351



MCMCoprobit iteration 320001 of 1050000 
beta = 
   3.98169
   0.76982
   3.73920
  -0.64167
   1.76139
   1.71542
   1.00352
  -0.08415
   2.18933
   1.85181
  -0.41179
   2.53519
   0.40780
   0.62777
   0.97029
   2.57203
   1.63272
  -1.05179
  -0.17544
   0.47923
   1.02263
   1.66921
   2.26484
   0.75827
  -3.52498
  -3.06918
  -2.83169
  -4.07485
  -1.62953
  -2.32379
  -3.98070
  -3.41883
  -4.04105
  -3.80666
  -3.92566
  -3.50017
  -4.66205
  -4.99658
  -3.85707
  -4.53054
  -2.20696
  -4.40205
  -2.95266
  -2.65951
  -4.24830
  -4.27951
  -2.48433
  -3.35077
Metropolis acceptance rate for gamma = 0.24386



MCMCoprobit iteration 330001 of 1050000 
beta = 
   4.16883
   0.23751
   3.48107
  -1.04150
   1.28815
   1.49058
   0.02765
  -0.74039
   1.30725
   1.97986
  -0.37790
   1.96746
  -0.07187
   0.30581
   0.83598
   2.62173
   1.48428
  -1.19435
  -0.21059
   0.05937
   0.73478
   1.40097
   1.84497
   0.44276
  -3.88692
  -2.89036
  -3.20199
  -4.04128
  -1.55266
  -2.60924
  -4.31286
  -3.28852
  -4.32502
  -4.34706
  -4.41828
  -4.28548
  -4.15759
  -6.21111
  -4.06610
  -4.48423
  -2.44204
  -3.99910
  -3.55399
  -2.95920
  -4.15491
  -4.50667
  -2.61779
  -4.18887
Metropolis acceptance rate for gamma = 0.24400



MCMCoprobit iteration 340001 of 1050000 
beta = 
   4.06173
   0.82079
   3.73047
  -1.09448
   1.55514
   1.54217
   0.22963
  -0.04015
   1.69236
   2.13558
  -0.26939
   1.96196
  -0.38269
   0.47067
   1.03307
   2.17859
   1.32556
  -0.75138
   0.42083
   0.36155
   0.64728
   1.32686
   2.32047
   0.87806
  -3.73418
  -2.27134
  -2.96598
  -3.80008
  -1.81185
  -2.87132
  -4.45347
  -3.20836
  -4.75189
  -4.01756
  -3.68021
  -4.25355
  -4.38594
  -5.67357
  -3.28296
  -3.94694
  -2.52531
  -3.94545
  -3.15908
  -3.06294
  -4.33937
  -4.02677
  -2.85972
  -3.55094
Metropolis acceptance rate for gamma = 0.24395



MCMCoprobit iteration 350001 of 1050000 
beta = 
   4.07010
   0.46943
   3.77383
  -1.08516
   1.57417
   1.23395
   0.48769
  -0.21306
   1.36020
   2.11633
  -0.59297
   1.87904
  -0.65659
   0.29239
   1.03730
   2.37515
   1.06862
  -0.96747
   0.28500
  -0.08277
   0.41334
   1.07483
   2.13998
   0.47605
  -3.79838
  -3.15554
  -2.63507
  -3.59120
  -1.52019
  -2.46585
  -3.89269
  -3.19561
  -4.72268
  -4.10553
  -4.07812
  -3.86865
  -5.00326
  -5.15274
  -3.34803
  -3.98480
  -2.31565
  -3.80178
  -2.72185
  -2.35509
  -4.16436
  -4.57421
  -1.81770
  -3.77292
Metropolis acceptance rate for gamma = 0.24389



MCMCoprobit iteration 360001 of 1050000 
beta = 
   3.87918
   0.32567
   3.59253
  -1.48800
   1.62035
   2.16028
   1.32317
  -0.90338
   1.91582
   1.93302
  -0.24362
   1.89356
  -0.14255
   0.53238
   1.06449
   2.33001
   1.26740
  -0.59898
   0.16301
   0.26357
   0.93491
   1.55024
   2.01036
   0.67394
  -3.38802
  -2.59862
  -2.99889
  -3.68600
  -1.68402
  -2.70356
  -3.79840
  -3.41895
  -4.49638
  -3.72925
  -4.25904
  -3.84709
  -4.68823
  -4.95917
  -3.57076
  -4.29707
  -2.60529
  -3.53573
  -2.94403
  -2.49948
  -3.77970
  -3.96596
  -2.57820
  -3.64061
Metropolis acceptance rate for gamma = 0.24414



MCMCoprobit iteration 370001 of 1050000 
beta = 
   4.14713
   0.18858
   3.70450
  -1.04559
   1.62717
   1.42782
   0.51669
  -0.72784
   1.15811
   2.19309
  -0.63859
   2.02489
  -0.17987
   0.22194
   0.84393
   2.28079
   1.10570
  -1.13095
   0.21892
   0.05585
   0.59212
   1.77342
   2.16678
   0.73684
  -3.73801
  -3.33321
  -3.57893
  -3.74342
  -2.30329
  -2.93039
  -3.80432
  -4.03090
  -4.92418
  -4.96826
  -3.98591
  -3.84503
  -5.04391
  -5.17649
  -4.17507
  -4.18533
  -2.97848
  -3.90383
  -2.98618
  -3.10462
  -3.81812
  -4.21499
  -3.16029
  -3.70762
Metropolis acceptance rate for gamma = 0.24411



MCMCoprobit iteration 380001 of 1050000 
beta = 
   4.14378
   0.44686
   3.57848
  -1.01336
   1.93356
   1.19913
   0.66808
  -0.41784
   1.20672
   1.88825
  -0.70521
   1.94485
  -0.44233
   0.24970
   1.13974
   2.41854
   1.25764
  -1.24533
  -0.04985
   0.26919
   0.85556
   1.63744
   2.19235
   0.11629
  -3.59987
  -2.72467
  -3.18878
  -4.16331
  -2.00088
  -3.04827
  -4.53760
  -3.58115
  -4.55578
  -4.27346
  -3.65902
  -3.80401
  -5.15496
  -4.74481
  -3.94239
  -4.52322
  -2.66141
  -3.82220
  -3.50251
  -2.79406
  -4.69209
  -4.37493
  -2.70984
  -3.94927
Metropolis acceptance rate for gamma = 0.24402



MCMCoprobit iteration 390001 of 1050000 
beta = 
   4.04989
   0.15372
   3.82283
  -1.11978
   1.29041
   1.34791
   0.13837
  -1.41471
   1.10237
   2.56188
  -0.34941
   2.25809
  -0.64979
   0.25548
   0.99605
   2.09576
   1.48280
  -0.66889
   0.05866
   0.12739
   0.42871
   1.25576
   2.25016
   0.73140
  -3.39500
  -2.59019
  -3.03079
  -3.79006
  -2.03510
  -2.75532
  -4.09123
  -3.95332
  -4.84729
  -4.18508
  -3.82846
  -3.70774
  -4.17751
  -5.79785
  -4.08687
  -4.99875
  -2.68848
  -3.78821
  -3.18056
  -2.78135
  -4.36043
  -4.38036
  -2.67917
  -3.43050
Metropolis acceptance rate for gamma = 0.24420



MCMCoprobit iteration 400001 of 1050000 
beta = 
   4.20267
   0.61310
   4.02055
  -1.24803
   1.65728
   1.48036
   0.40497
  -0.63613
   1.72916
   2.36777
  -0.56605
   1.93132
  -0.23290
  -0.16961
   0.83393
   2.35735
   1.05936
  -0.87041
   0.31688
   0.53642
   0.24271
   1.19198
   2.32787
   1.00580
  -3.99918
  -2.99156
  -3.37937
  -4.36151
  -2.13946
  -2.65358
  -4.70251
  -3.47458
  -4.76290
  -4.97838
  -4.15006
  -3.78607
  -4.65041
  -5.06852
  -4.09936
  -4.57246
  -2.61004
  -4.24441
  -3.34090
  -3.08662
  -4.43857
  -4.84335
  -2.77595
  -3.96084
Metropolis acceptance rate for gamma = 0.24452



MCMCoprobit iteration 410001 of 1050000 
beta = 
   3.81905
   0.72069
   3.62956
  -0.95052
   1.52224
   1.47377
   0.95927
  -0.78147
   1.87916
   2.56291
   0.09515
   2.30514
  -0.26859
   0.49177
   0.79831
   2.67811
   1.20242
  -0.53021
   0.21648
   0.57775
   0.87400
   1.72111
   2.41462
   0.67629
  -2.88483
  -2.74097
  -2.97538
  -3.56536
  -1.98895
  -2.38615
  -3.69105
  -3.26482
  -4.52207
  -3.82525
  -3.46134
  -3.37480
  -4.45228
  -5.07424
  -3.94560
  -4.56395
  -1.99489
  -3.48085
  -3.35662
  -2.48087
  -4.23835
  -3.71163
  -2.58576
  -3.36361
Metropolis acceptance rate for gamma = 0.24455



MCMCoprobit iteration 420001 of 1050000 
beta = 
   4.24051
   0.65819
   2.98933
  -1.00198
   1.53534
   1.64742
   0.27027
  -0.88795
   1.22314
   2.15423
  -0.92613
   2.27849
  -0.81055
   0.16357
   0.79533
   2.11507
   0.74854
  -0.87279
   0.39724
  -0.46693
   1.01832
   1.43702
   1.93730
   0.75273
  -3.91984
  -3.24293
  -2.86602
  -3.75568
  -1.98445
  -2.33533
  -4.04275
  -4.17172
  -4.69944
  -4.31511
  -4.09973
  -4.06496
  -5.16956
  -5.20059
  -3.92828
  -4.69732
  -2.71910
  -4.55219
  -3.34947
  -2.61023
  -4.56309
  -4.68634
  -3.21798
  -4.20001
Metropolis acceptance rate for gamma = 0.24466



MCMCoprobit iteration 430001 of 1050000 
beta = 
   4.13454
   0.82298
   4.05959
  -1.14869
   2.05491
   1.72724
   0.77671
  -0.35167
   2.08803
   2.22533
  -0.18900
   1.97048
   0.01148
   0.49006
   1.36924
   2.72731
   1.65562
  -1.15681
   0.41234
   0.40349
   1.21853
   1.88661
   2.41777
   0.83304
  -3.44507
  -2.56036
  -3.33065
  -4.04787
  -2.10074
  -2.81379
  -3.85813
  -3.94918
  -4.46252
  -3.87752
  -4.14207
  -3.85766
  -4.87234
  -4.49324
  -3.78208
  -5.12981
  -2.66164
  -4.14050
  -3.52633
  -2.63670
  -4.07045
  -4.10246
  -2.52690
  -3.35771
Metropolis acceptance rate for gamma = 0.24480



MCMCoprobit iteration 440001 of 1050000 
beta = 
   3.62820
   0.79878
   3.22127
  -0.66169
   1.55091
   1.92905
   1.07315
  -0.55076
   1.78756
   2.19526
   0.21358
   2.21852
   0.29838
   0.59813
   1.04909
   2.28361
   1.68758
  -0.68093
   0.14262
   1.11329
   0.73030
   1.54653
   2.14577
   0.95716
  -2.86370
  -2.30144
  -2.36502
  -3.81633
  -1.35517
  -2.14457
  -3.96650
  -3.40356
  -4.10168
  -3.97800
  -3.72809
  -3.17009
  -4.17923
  -4.81219
  -3.19414
  -3.91568
  -2.07173
  -3.65109
  -2.16243
  -2.51962
  -4.12518
  -4.25008
  -1.88159
  -2.60794
Metropolis acceptance rate for gamma = 0.24466



MCMCoprobit iteration 450001 of 1050000 
beta = 
   3.59457
   0.97010
   3.65362
  -0.84186
   2.08130
   1.77195
   0.49798
  -0.70237
   1.23597
   2.71742
   0.02738
   2.50692
  -0.28025
   0.57945
   0.86128
   2.75492
   1.40177
  -0.72854
   0.31569
   0.47478
   1.42086
   1.96932
   2.75782
   0.54328
  -3.53012
  -2.36550
  -2.36752
  -3.64213
  -1.69595
  -2.82783
  -3.57400
  -3.21722
  -4.31920
  -3.79330
  -3.25441
  -3.48166
  -4.41012
  -5.08745
  -3.13221
  -3.93221
  -2.02498
  -3.73997
  -2.68740
  -2.22276
  -3.93108
  -3.49882
  -1.89213
  -3.49381
Metropolis acceptance rate for gamma = 0.24458



MCMCoprobit iteration 460001 of 1050000 
beta = 
   3.89050
   0.70032
   3.67083
  -0.97347
   2.00239
   1.46141
   0.57736
  -0.19191
   1.39809
   2.48241
   0.21191
   2.00533
  -0.32666
   0.35065
   1.12542
   2.30082
   0.98503
  -1.04015
   0.51068
   0.15258
   0.61291
   0.94074
   2.10705
   0.38022
  -3.63901
  -2.71593
  -3.00797
  -3.98575
  -0.96276
  -2.89845
  -3.57562
  -3.50071
  -4.41993
  -4.32578
  -3.98375
  -3.95467
  -4.92457
  -5.32453
  -3.68366
  -4.14875
  -2.35787
  -3.79216
  -2.69922
  -1.86798
  -3.86592
  -3.72651
  -2.02221
  -3.31683
Metropolis acceptance rate for gamma = 0.24441



MCMCoprobit iteration 470001 of 1050000 
beta = 
   3.76673
   0.34930
   3.55242
  -0.83846
   2.02252
   1.69050
   1.07147
  -0.34695
   1.46238
   2.03285
  -0.14018
   2.09384
   0.17958
   0.31173
   0.87284
   2.49015
   1.24990
  -0.37461
   0.77603
   0.31256
   0.88123
   1.48163
   2.05654
   0.46646
  -3.31770
  -2.47851
  -2.81077
  -3.28992
  -2.00635
  -2.06465
  -3.76587
  -3.49923
  -4.18148
  -3.65607
  -3.65642
  -3.52266
  -4.62514
  -4.82272
  -3.26144
  -4.51355
  -2.69829
  -3.65330
  -2.92084
  -2.23545
  -3.67243
  -3.88365
  -2.53597
  -3.59833
Metropolis acceptance rate for gamma = 0.24439



MCMCoprobit iteration 480001 of 1050000 
beta = 
   4.11026
   0.47044
   3.28236
  -1.18373
   1.40091
   1.59008
   0.74406
  -0.59427
   2.02416
   1.97038
   0.14664
   2.14698
   0.08750
   0.25661
   0.96890
   2.16588
   1.34013
  -1.05589
  -0.21945
   0.32591
   0.81153
   0.92662
   2.03708
   0.22500
  -3.33611
  -3.01857
  -3.19413
  -4.13332
  -1.88131
  -2.98169
  -4.06763
  -3.64768
  -5.27276
  -4.60438
  -4.17831
  -4.00210
  -4.93464
  -4.98724
  -3.44477
  -4.79355
  -2.83118
  -3.60778
  -3.02087
  -2.92252
  -4.46940
  -4.30830
  -2.74838
  -3.92595
Metropolis acceptance rate for gamma = 0.24438



MCMCoprobit iteration 490001 of 1050000 
beta = 
   3.93722
   0.67006
   3.93103
  -1.61248
   1.68855
   1.56120
   0.55655
  -0.21789
   1.04624
   2.54956
  -0.22920
   1.96973
  -0.22379
   0.07527
   0.94178
   2.15437
   1.10863
  -0.90609
   0.06702
   0.40224
   0.66725
   1.68220
   1.97555
   0.27701
  -3.79016
  -2.93900
  -3.12434
  -3.73557
  -1.74639
  -2.72909
  -3.91231
  -4.06187
  -4.69786
  -4.34354
  -4.22344
  -4.02863
  -4.54840
  -5.79796
  -3.70606
  -4.55571
  -2.18528
  -3.75943
  -2.60270
  -2.27183
  -4.45758
  -5.02543
  -2.35711
  -3.56176
Metropolis acceptance rate for gamma = 0.24435



MCMCoprobit iteration 500001 of 1050000 
beta = 
   4.02299
   0.67031
   4.28065
  -0.90892
   1.76012
   1.47295
   0.51774
  -0.36256
   2.06834
   2.02230
   0.14516
   2.17730
  -0.00759
   0.70245
   1.36387
   2.83680
   1.59795
   0.10282
   0.50343
   0.66163
   1.24292
   1.86422
   2.73371
   0.75968
  -3.53456
  -2.67873
  -2.94488
  -3.96616
  -1.32632
  -2.45479
  -3.74093
  -3.94143
  -4.20998
  -4.23145
  -3.99002
  -3.95604
  -4.67468
  -5.23062
  -4.01804
  -3.92530
  -2.27568
  -4.23619
  -3.17378
  -2.44942
  -3.70420
  -4.43801
  -2.35014
  -3.66765
Metropolis acceptance rate for gamma = 0.24446



MCMCoprobit iteration 510001 of 1050000 
beta = 
   3.99891
   0.39677
   3.61017
  -0.91278
   1.13010
   1.54372
   0.32650
  -0.28131
   1.67934
   2.49312
  -0.29743
   2.14086
  -0.15868
   0.16339
   0.71661
   2.73612
   1.40996
  -0.36045
  -0.04285
   0.08244
   0.26856
   1.35590
   2.04715
   0.18233
  -3.09723
  -3.16747
  -2.97053
  -4.26256
  -2.00910
  -2.74408
  -4.01978
  -3.97944
  -4.49828
  -4.36039
  -3.82168
  -4.31593
  -4.79832
  -4.87899
  -4.01566
  -4.28586
  -3.00397
  -4.07332
  -3.20942
  -2.75079
  -3.93596
  -4.26516
  -2.55335
  -3.85921
Metropolis acceptance rate for gamma = 0.24443



MCMCoprobit iteration 520001 of 1050000 
beta = 
   4.31371
   0.03101
   3.72143
  -1.43184
   0.93195
   1.30026
   0.17538
  -0.61603
   1.37191
   1.96360
  -0.59728
   1.90244
  -0.52365
   0.19343
   0.26555
   2.00625
   0.64008
  -1.42272
  -0.56441
  -0.08853
   0.17332
   1.41579
   1.75815
   0.09025
  -3.88547
  -2.68269
  -3.19716
  -4.15897
  -2.28492
  -2.87110
  -4.27803
  -3.64385
  -4.96665
  -4.44416
  -4.20842
  -4.10579
  -5.11136
  -5.00459
  -4.23839
  -4.84499
  -2.87254
  -3.67697
  -3.25899
  -3.03432
  -4.57402
  -3.83244
  -2.82175
  -4.16757
Metropolis acceptance rate for gamma = 0.24439



MCMCoprobit iteration 530001 of 1050000 
beta = 
   4.45624
   0.42282
   3.63564
  -1.01875
   1.25805
   1.40462
   0.13476
  -0.92417
   1.61040
   2.04757
  -0.72546
   1.71917
  -0.38113
   0.21653
   0.55429
   2.04124
   1.20161
  -1.55981
   0.03975
  -0.67347
   0.46726
   1.58788
   2.03050
   0.08870
  -4.04196
  -3.14453
  -3.62783
  -4.14644
  -2.04072
  -2.82725
  -4.73998
  -4.82146
  -5.25278
  -4.10150
  -4.40158
  -4.30819
  -5.28382
  -5.61191
  -4.66362
  -5.12006
  -2.71494
  -4.02204
  -3.63454
  -2.73135
  -4.51705
  -4.44069
  -3.09716
  -3.85851
Metropolis acceptance rate for gamma = 0.24441



MCMCoprobit iteration 540001 of 1050000 
beta = 
   3.99857
   0.52809
   3.95377
  -1.01071
   1.50891
   1.80735
   0.53040
  -0.47978
   1.25755
   2.49542
  -0.41165
   2.18098
  -0.21702
   0.00210
   0.77870
   2.56346
   1.17501
  -0.88019
   0.25197
  -0.06777
   0.54773
   1.27337
   2.23771
   0.27532
  -3.50825
  -2.75705
  -2.84772
  -4.16731
  -1.41439
  -2.76381
  -3.82192
  -3.83045
  -4.90404
  -4.49033
  -3.96458
  -3.88792
  -4.53167
  -5.75288
  -3.58153
  -3.98015
  -2.47591
  -3.79278
  -3.04934
  -2.64238
  -4.44653
  -4.22375
  -2.67719
  -3.32774
Metropolis acceptance rate for gamma = 0.24429



MCMCoprobit iteration 550001 of 1050000 
beta = 
   4.43760
   0.38030
   3.65998
  -1.31341
   1.36312
   1.31044
  -0.00331
  -0.41834
   1.67458
   2.38494
  -0.31816
   1.62130
  -0.29831
  -0.04451
   0.34334
   2.05779
   1.42113
  -1.18713
  -0.09624
  -0.04482
   0.30668
   1.09853
   1.57520
   0.64817
  -3.90480
  -3.35392
  -3.45400
  -4.20730
  -1.88924
  -3.10599
  -4.93186
  -4.42665
  -4.89434
  -5.09506
  -4.77537
  -3.85955
  -5.22913
  -5.90204
  -4.37611
  -4.80802
  -2.64082
  -3.80763
  -3.49044
  -2.55254
  -4.24180
  -4.47320
  -2.98560
  -4.36480
Metropolis acceptance rate for gamma = 0.24415



MCMCoprobit iteration 560001 of 1050000 
beta = 
   4.36595
   0.25642
   3.79254
  -1.45592
   2.17742
   1.53066
   0.55723
  -0.66771
   1.58638
   2.07193
  -0.04244
   1.98869
  -0.26407
   0.25194
   0.65645
   2.45678
   1.31834
  -0.92161
  -0.41517
  -0.02882
   0.33835
   1.59754
   2.08320
   0.35322
  -3.89960
  -2.89527
  -3.46097
  -4.27074
  -2.32064
  -3.20347
  -4.54409
  -3.99040
  -4.75310
  -4.60431
  -3.74049
  -4.15326
  -4.63899
  -5.84384
  -4.07967
  -5.35776
  -2.39009
  -3.82942
  -3.34691
  -2.74676
  -4.78446
  -4.80555
  -2.48049
  -3.94794
Metropolis acceptance rate for gamma = 0.24402



MCMCoprobit iteration 570001 of 1050000 
beta = 
   4.08941
   0.48955
   3.60740
  -1.37592
   1.88006
   1.17772
   0.62926
  -0.71389
   2.05343
   2.04097
  -0.33309
   1.43962
  -0.21178
   0.19775
   0.75085
   2.22127
   1.06221
  -1.07393
  -0.05073
   0.44167
   0.58131
   1.59920
   2.01996
   0.57822
  -4.21663
  -3.27207
  -3.22468
  -4.20389
  -2.28787
  -2.37831
  -4.01919
  -4.35115
  -4.37935
  -4.54464
  -3.84048
  -3.80081
  -4.77336
  -4.74648
  -4.24080
  -4.47489
  -2.81774
  -4.22904
  -3.23363
  -2.84508
  -4.23449
  -4.38545
  -2.60294
  -3.77350
Metropolis acceptance rate for gamma = 0.24399



MCMCoprobit iteration 580001 of 1050000 
beta = 
   4.05280
   0.81098
   4.32929
  -1.01667
   1.90990
   1.77640
   0.75906
  -0.25517
   1.56332
   2.88549
  -0.21063
   2.24359
  -0.23469
   0.74935
   1.31055
   2.46834
   1.66751
  -0.93168
   0.15956
   0.84036
   0.55381
   1.50783
   2.03211
   0.43071
  -3.68631
  -3.15252
  -2.98462
  -3.70472
  -2.08062
  -2.61405
  -4.35528
  -3.41336
  -4.37319
  -4.29736
  -4.35936
  -3.89403
  -5.18615
  -5.54174
  -3.50996
  -4.56870
  -2.24598
  -3.57482
  -3.48632
  -2.52119
  -4.03615
  -4.14674
  -2.07936
  -3.80754
Metropolis acceptance rate for gamma = 0.24392



MCMCoprobit iteration 590001 of 1050000 
beta = 
   4.38792
   0.35717
   2.77221
  -1.40194
   1.23434
   1.22343
   0.41701
  -0.90396
   0.75131
   2.01125
  -0.40216
   1.83052
  -0.03352
  -0.01285
   0.52171
   2.33402
   0.65158
  -0.94267
   0.15239
  -0.06444
   0.65003
   1.19435
   1.58934
   0.23010
  -3.84630
  -3.23183
  -3.10365
  -4.38563
  -2.41835
  -3.34299
  -4.22639
  -4.02575
  -5.25822
  -4.83765
  -4.14499
  -3.95803
  -5.34042
  -5.53345
  -4.50623
  -5.46035
  -3.07957
  -4.50921
  -3.40655
  -3.45596
  -4.50794
  -4.54951
  -3.14309
  -4.12969
Metropolis acceptance rate for gamma = 0.24392



MCMCoprobit iteration 600001 of 1050000 
beta = 
   3.91046
   0.54575
   4.25171
  -1.19249
   1.64638
   1.57596
   0.73731
  -0.57800
   1.51918
   2.26046
  -0.06099
   2.36052
   0.18727
   0.32268
   1.02498
   2.38187
   0.96609
  -1.07390
   0.27480
   0.34617
   0.77044
   1.46442
   2.19352
   0.98319
  -3.47524
  -3.17568
  -3.14860
  -3.88602
  -1.45272
  -2.53895
  -4.26263
  -3.44967
  -4.45935
  -3.81515
  -3.88915
  -3.63566
  -4.60873
  -5.53673
  -3.46135
  -4.51249
  -2.54262
  -3.72932
  -2.97731
  -2.61133
  -4.03927
  -4.40317
  -2.59188
  -3.06306
Metropolis acceptance rate for gamma = 0.24385



MCMCoprobit iteration 610001 of 1050000 
beta = 
   4.03366
   0.68976
   4.49115
  -0.67320
   1.97446
   1.74084
   0.61409
  -0.59913
   1.56936
   2.00047
  -0.17751
   2.55965
   0.08946
   0.43717
   0.79427
   2.31947
   1.56698
  -0.92895
   0.28384
   0.55203
   0.57253
   1.42326
   2.07930
   0.61712
  -3.68104
  -2.66704
  -3.39493
  -3.83749
  -1.98526
  -2.75359
  -4.10319
  -3.28534
  -4.49843
  -4.67905
  -3.79421
  -3.98661
  -5.08200
  -5.22649
  -3.66805
  -4.59870
  -2.53034
  -3.92542
  -3.25410
  -2.63738
  -4.51936
  -4.47959
  -2.44126
  -3.77110
Metropolis acceptance rate for gamma = 0.24379



MCMCoprobit iteration 620001 of 1050000 
beta = 
   3.93783
   0.57031
   3.81051
  -1.03212
   1.40716
   1.50119
   0.75794
  -0.56445
   1.43787
   2.36841
  -0.43312
   2.03275
   0.17393
   0.40670
   1.20029
   2.41048
   1.39057
  -1.00340
  -0.16783
  -0.01805
   0.61240
   1.53390
   2.29593
   0.70876
  -3.09695
  -2.62521
  -3.08454
  -3.83561
  -2.06813
  -2.62505
  -4.25867
  -4.02448
  -5.01815
  -4.19468
  -4.10963
  -3.88460
  -4.98944
  -4.72955
  -3.45174
  -4.45884
  -2.14361
  -3.95177
  -2.94560
  -2.35052
  -3.98208
  -3.69085
  -2.26676
  -3.78879
Metropolis acceptance rate for gamma = 0.24378



MCMCoprobit iteration 630001 of 1050000 
beta = 
   4.02904
   0.33000
   3.97338
  -1.11955
   1.74352
   1.34857
   0.98154
  -0.71354
   1.26836
   1.75133
  -0.07582
   2.07726
  -0.11860
   0.74319
   1.09084
   2.18497
   0.77658
  -0.50554
   0.63654
   0.14640
   0.63018
   1.35834
   2.29837
   0.88999
  -3.77997
  -2.94325
  -3.11233
  -3.57681
  -1.65841
  -2.87734
  -3.96639
  -3.78883
  -4.93551
  -4.35526
  -4.08715
  -4.03502
  -4.75001
  -5.54433
  -4.22278
  -4.21087
  -2.72902
  -3.53927
  -3.24307
  -3.01965
  -4.15741
  -4.30087
  -2.54061
  -4.09716
Metropolis acceptance rate for gamma = 0.24381



MCMCoprobit iteration 640001 of 1050000 
beta = 
   3.67515
   0.59414
   3.69880
  -1.32853
   2.05716
   2.11346
   0.61817
  -0.54802
   1.59904
   2.24456
   0.13092
   2.31537
  -0.05101
   0.62627
   1.15662
   2.64108
   1.72541
  -0.32750
   0.33858
   0.37595
   1.06662
   1.81608
   2.81582
   1.03202
  -3.55419
  -2.20806
  -2.49687
  -3.86767
  -1.86412
  -1.96883
  -3.87730
  -3.27196
  -4.48922
  -3.57019
  -3.32253
  -3.50304
  -4.43411
  -4.79593
  -3.35730
  -3.58377
  -1.95603
  -3.17792
  -2.94377
  -2.62036
  -3.87250
  -3.70145
  -2.30361
  -3.13723
Metropolis acceptance rate for gamma = 0.24385



MCMCoprobit iteration 650001 of 1050000 
beta = 
   4.65219
   0.22460
   3.05828
  -1.05154
   1.17706
   1.23304
   0.36763
  -1.06952
   0.56615
   1.40926
  -0.82059
   1.58840
  -0.90281
  -0.23570
  -0.08905
   1.86102
   0.84355
  -1.44370
  -0.29819
   0.32517
   0.23283
   0.87335
   1.20736
  -0.01341
  -3.98356
  -3.21514
  -3.86725
  -4.48406
  -2.20602
  -3.38184
  -4.63380
  -4.12582
  -4.93157
  -5.01933
  -4.49422
  -4.64559
  -5.95758
  -5.04993
  -4.35775
  -4.86828
  -2.44376
  -4.18510
  -3.90181
  -3.78449
  -4.57486
  -5.09249
  -3.06142
  -4.43200
Metropolis acceptance rate for gamma = 0.24388



MCMCoprobit iteration 660001 of 1050000 
beta = 
   4.01417
   0.38527
   3.96428
  -0.37087
   1.96622
   1.50478
   0.36369
  -0.75914
   0.99331
   2.51347
   0.08542
   2.01996
  -0.03746
   0.33608
   0.89527
   2.37325
   1.35881
  -0.90416
   0.21458
   0.34399
   0.86003
   1.73453
   2.19573
   0.37723
  -3.92535
  -3.22074
  -3.32341
  -3.98373
  -1.98158
  -2.71360
  -4.27635
  -3.82794
  -4.33907
  -3.96082
  -3.36416
  -3.94907
  -4.53595
  -4.68786
  -3.67268
  -4.74691
  -2.86230
  -4.01771
  -3.08836
  -2.84774
  -4.30004
  -3.90670
  -1.89006
  -3.63785
Metropolis acceptance rate for gamma = 0.24396



MCMCoprobit iteration 670001 of 1050000 
beta = 
   4.25479
   0.05538
   3.24347
  -1.61180
   1.29325
   1.04271
   0.87752
  -0.88036
   1.38838
   2.00908
  -0.94016
   1.55226
  -0.47641
  -0.05722
   0.98458
   1.95884
   0.72389
  -1.60002
   0.14372
  -0.17170
   0.48208
   1.39564
   2.17043
   0.25689
  -3.94999
  -3.51900
  -3.60486
  -4.50827
  -2.20584
  -3.34662
  -4.57790
  -4.00705
  -4.78620
  -4.81158
  -3.95450
  -4.19227
  -4.56607
  -5.52988
  -3.55797
  -4.38794
  -2.82207
  -3.82088
  -3.01070
  -3.13165
  -4.24158
  -4.04810
  -2.99867
  -4.11699
Metropolis acceptance rate for gamma = 0.24402



MCMCoprobit iteration 680001 of 1050000 
beta = 
   4.17825
   0.33237
   3.87958
  -1.10778
   1.53541
   1.52458
   1.00559
  -0.54206
   1.12086
   1.98197
  -0.31907
   2.17482
  -0.39478
   0.28813
   1.09471
   2.62669
   0.81466
  -1.17950
   0.72691
   0.37293
   0.45239
   1.74178
   2.10208
   0.79340
  -3.87838
  -2.98291
  -3.24471
  -3.87775
  -1.96120
  -2.46201
  -4.30986
  -4.44272
  -4.85660
  -4.27095
  -3.73026
  -3.99998
  -5.60828
  -5.00278
  -3.87358
  -4.87933
  -2.73567
  -4.07184
  -3.23605
  -2.76322
  -4.74441
  -5.13690
  -2.66395
  -4.05941
Metropolis acceptance rate for gamma = 0.24390



MCMCoprobit iteration 690001 of 1050000 
beta = 
   4.03490
   0.35812
   3.64149
  -0.69022
   1.72678
   1.14913
   0.41794
  -0.51260
   1.51980
   2.47319
  -0.69070
   2.26937
  -0.32534
   0.29871
   0.65108
   2.24078
   1.02845
  -0.69367
  -0.34945
  -0.11912
   0.49176
   1.37579
   1.68876
   0.54100
  -3.82502
  -2.88610
  -2.88918
  -3.45043
  -1.80094
  -2.58256
  -3.93260
  -3.77890
  -4.54509
  -4.89693
  -3.51822
  -4.11505
  -5.53585
  -5.10277
  -4.45651
  -4.59545
  -3.12380
  -4.05906
  -2.72806
  -2.72009
  -4.04422
  -4.49233
  -2.57580
  -3.46490
Metropolis acceptance rate for gamma = 0.24378



MCMCoprobit iteration 700001 of 1050000 
beta = 
   3.37259
   0.79804
   4.04508
  -0.59381
   1.86454
   1.68201
   0.74652
  -0.48519
   1.51549
   2.62813
   0.14990
   3.06391
   0.38222
   0.88011
   1.09417
   2.83800
   1.93325
  -0.57047
   0.64501
   0.75127
   1.07398
   2.57784
   2.72047
   1.04424
  -3.25565
  -2.47020
  -2.64216
  -3.15785
  -1.68250
  -2.16023
  -3.49051
  -3.01539
  -3.96700
  -3.97002
  -3.19841
  -3.07479
  -4.09501
  -4.53446
  -3.19696
  -4.06452
  -2.16090
  -2.90248
  -2.32344
  -1.71931
  -3.37192
  -3.52487
  -2.27565
  -3.20009
Metropolis acceptance rate for gamma = 0.24386



MCMCoprobit iteration 710001 of 1050000 
beta = 
   4.48002
  -0.12413
   3.26490
  -2.10058
   1.33955
   0.94584
  -0.17200
  -0.94730
   0.92082
   1.25416
  -0.64338
   1.33432
  -0.61634
  -0.12090
   0.54941
   1.77870
   0.80311
  -1.57947
  -0.09213
  -0.30093
   0.46196
   0.87898
   1.66027
   0.59811
  -4.28523
  -3.38311
  -3.79540
  -3.78941
  -2.13831
  -3.61898
  -4.59069
  -3.96075
  -5.02539
  -4.47172
  -4.42573
  -4.51700
  -6.21954
  -4.90986
  -4.35629
  -4.82524
  -2.60715
  -4.35173
  -3.83074
  -2.97129
  -4.84629
  -4.34953
  -2.61661
  -4.38563
Metropolis acceptance rate for gamma = 0.24380



MCMCoprobit iteration 720001 of 1050000 
beta = 
   3.60383
   0.52018
   3.86060
  -0.73337
   1.75744
   1.57289
   0.85525
  -0.17083
   1.64144
   2.20928
   0.00823
   2.20212
  -0.01377
   0.57553
   0.74981
   2.54170
   1.37986
  -1.14412
   0.31529
   0.74446
   0.95697
   2.18552
   2.33798
   1.16130
  -3.11806
  -2.88560
  -2.50876
  -3.30178
  -1.59506
  -2.47802
  -3.87160
  -3.30687
  -4.15288
  -3.93797
  -3.43310
  -3.45505
  -4.32343
  -5.14809
  -3.11693
  -3.99247
  -2.39219
  -3.62507
  -3.01390
  -2.22229
  -3.66280
  -3.63442
  -2.52234
  -3.24448
Metropolis acceptance rate for gamma = 0.24375



MCMCoprobit iteration 730001 of 1050000 
beta = 
   3.97040
   0.41758
   3.91894
  -0.98898
   1.81093
   1.22538
   0.47900
  -0.83658
   1.00719
   2.04183
  -0.38979
   1.65889
  -0.62941
   0.45328
   0.89257
   2.21054
   1.12708
  -0.44110
  -0.15619
  -0.04142
   0.72308
   1.93471
   1.93683
   0.56958
  -3.79836
  -2.54324
  -3.34658
  -3.38548
  -1.87950
  -2.90570
  -4.31013
  -3.99144
  -4.81590
  -4.12349
  -3.68623
  -3.89468
  -4.65981
  -5.02373
  -3.54469
  -4.47734
  -2.82781
  -3.78748
  -2.78945
  -2.32213
  -4.16901
  -3.39571
  -2.34392
  -3.71715
Metropolis acceptance rate for gamma = 0.24384



MCMCoprobit iteration 740001 of 1050000 
beta = 
   3.87687
   0.73129
   3.72402
  -1.02390
   2.39929
   1.32741
   0.73739
   0.02472
   1.62141
   2.04848
  -0.08867
   2.01253
   0.13253
   0.81499
   1.15606
   2.59579
   1.25132
  -0.58535
   0.53650
   0.55857
   1.03285
   1.95073
   2.22510
   0.77495
  -3.38797
  -3.07014
  -3.01113
  -3.92863
  -1.40238
  -2.47917
  -3.67311
  -3.23467
  -4.02961
  -4.21725
  -4.02764
  -3.67327
  -4.94791
  -5.30915
  -3.34674
  -4.19119
  -2.57082
  -3.67219
  -2.89171
  -2.10622
  -4.34905
  -4.44683
  -2.18623
  -3.37323
Metropolis acceptance rate for gamma = 0.24398



MCMCoprobit iteration 750001 of 1050000 
beta = 
   3.92630
   0.51020
   3.79961
  -1.02694
   1.28263
   1.50809
   0.01420
  -0.61005
   1.15107
   1.68570
   0.05896
   1.87163
  -0.22019
   0.12827
   0.81931
   2.53157
   1.16498
  -0.58767
  -0.08103
   0.42417
   0.55344
   1.86938
   2.02179
   0.23845
  -3.63870
  -2.57499
  -2.87930
  -3.85978
  -1.65304
  -2.83015
  -4.27910
  -4.08904
  -4.23369
  -4.41907
  -3.87628
  -3.93640
  -4.67431
  -5.44569
  -3.69818
  -4.21493
  -2.06571
  -4.09724
  -2.80796
  -2.85872
  -3.57543
  -3.73277
  -2.52449
  -3.85153
Metropolis acceptance rate for gamma = 0.24390



MCMCoprobit iteration 760001 of 1050000 
beta = 
   3.96987
  -0.00164
   3.41063
  -1.16820
   1.12319
   1.39614
   0.76001
  -0.40656
   1.20226
   1.56639
  -0.35926
   1.47524
   0.29061
  -0.02845
   0.83553
   1.82054
   1.16195
  -1.22404
   0.03156
  -0.30796
  -0.06110
   1.23181
   2.04829
   0.63723
  -3.64817
  -3.01350
  -2.91984
  -3.90704
  -2.03490
  -2.51968
  -3.95121
  -3.89291
  -4.58027
  -4.18344
  -3.52277
  -3.76310
  -4.34680
  -5.18814
  -3.68209
  -4.46042
  -2.58316
  -3.84037
  -3.24875
  -2.61174
  -3.84830
  -3.67628
  -2.43607
  -3.94252
Metropolis acceptance rate for gamma = 0.24387



MCMCoprobit iteration 770001 of 1050000 
beta = 
   3.87844
   0.79400
   3.40892
  -1.02855
   1.42542
   1.50421
   0.36461
  -0.08341
   1.29617
   1.95469
  -0.02871
   2.07803
  -0.08019
   0.57947
   1.06933
   2.54045
   1.30676
  -0.41659
   0.41210
   0.54083
   0.91561
   1.78368
   2.02017
   0.08745
  -3.31908
  -2.34672
  -2.70278
  -3.34490
  -1.76822
  -2.89767
  -4.16550
  -3.77586
  -4.45179
  -4.03495
  -3.76848
  -3.95905
  -4.14422
  -5.63054
  -3.78659
  -4.46174
  -2.13329
  -3.90339
  -3.05076
  -2.30671
  -4.05662
  -3.77423
  -2.67394
  -3.96099
Metropolis acceptance rate for gamma = 0.24380



MCMCoprobit iteration 780001 of 1050000 
beta = 
   3.94318
   0.67655
   4.38244
  -0.74856
   1.82907
   1.33880
   1.12717
  -0.79748
   1.56803
   2.45401
  -0.00070
   2.07945
  -0.07775
   0.42040
   0.79430
   2.23128
   1.42642
  -0.79657
   0.69293
   0.35701
   0.93214
   1.28580
   1.91591
   0.63551
  -3.49192
  -2.97432
  -2.72934
  -3.82440
  -1.55391
  -2.31429
  -4.34044
  -3.18637
  -4.00773
  -4.03619
  -3.81813
  -3.98181
  -5.04166
  -5.32023
  -3.67195
  -4.19968
  -2.07172
  -4.02630
  -2.92372
  -2.47706
  -4.25661
  -4.35774
  -2.17990
  -4.09718
Metropolis acceptance rate for gamma = 0.24379



MCMCoprobit iteration 790001 of 1050000 
beta = 
   3.60160
   1.28938
   4.36965
  -0.95989
   2.32557
   1.78969
   0.93883
  -0.25902
   2.03799
   2.90207
  -0.41986
   2.12219
   0.41153
   0.92312
   1.42720
   2.98130
   1.41476
  -1.05484
   0.52924
   0.29896
   1.69931
   2.39749
   2.75217
   0.88761
  -3.53900
  -2.58700
  -2.89903
  -3.05921
  -1.14098
  -1.99983
  -3.95751
  -2.68390
  -3.94765
  -3.76117
  -3.16329
  -3.38325
  -4.80704
  -4.38531
  -3.76743
  -3.91668
  -2.26330
  -3.21969
  -2.51511
  -2.64727
  -4.05291
  -4.23029
  -1.72923
  -3.09442
Metropolis acceptance rate for gamma = 0.24384



MCMCoprobit iteration 800001 of 1050000 
beta = 
   3.82110
   0.78273
   4.01186
  -0.68025
   1.88210
   1.73009
   0.69015
  -0.19589
   1.87598
   2.28845
   0.10936
   2.69607
   0.27956
   0.61411
   1.45853
   3.02958
   1.55360
  -0.50234
   0.23600
   0.45003
   1.32648
   1.91880
   2.32123
   0.84062
  -3.40295
  -2.44624
  -2.79732
  -3.20688
  -1.69911
  -2.48806
  -3.22615
  -4.18703
  -4.60953
  -4.44840
  -3.54877
  -3.52928
  -4.61876
  -4.78564
  -3.84910
  -4.81262
  -2.58092
  -3.71130
  -2.41389
  -2.40227
  -3.73516
  -3.88988
  -2.37784
  -3.38054
Metropolis acceptance rate for gamma = 0.24392



MCMCoprobit iteration 810001 of 1050000 
beta = 
   4.49321
   0.36251
   3.21901
  -1.38397
   1.17452
   1.17106
   0.58706
  -0.89325
   1.25019
   2.24924
  -0.49621
   1.79136
  -0.30617
   0.25395
   0.49820
   2.03971
   1.00810
  -0.97797
  -0.21841
  -0.07981
   0.52879
   1.25425
   2.03132
   0.00442
  -4.05660
  -3.52110
  -3.77429
  -4.01892
  -2.42018
  -3.29341
  -4.63595
  -4.46267
  -5.37475
  -5.30101
  -4.00609
  -4.91725
  -5.83712
  -5.72810
  -4.19973
  -5.14524
  -2.53642
  -4.14300
  -3.86483
  -3.29828
  -4.99235
  -4.34723
  -2.58949
  -4.47451
Metropolis acceptance rate for gamma = 0.24400



MCMCoprobit iteration 820001 of 1050000 
beta = 
   4.45406
   0.32920
   3.29925
  -1.04279
   0.97195
   1.01200
  -0.21062
  -0.64492
   1.73782
   1.84854
  -0.86138
   2.02550
  -0.28948
   0.28494
   0.48267
   2.01638
   0.89958
  -1.17428
  -0.20041
   0.42080
   0.47494
   1.73526
   1.73561
   0.02490
  -4.25125
  -3.36205
  -3.43547
  -4.27138
  -2.03846
  -2.92077
  -4.40508
  -4.14618
  -5.49846
  -4.25233
  -3.92387
  -4.57936
  -5.29259
  -6.24184
  -4.13153
  -4.83697
  -2.35185
  -4.31725
  -2.93055
  -3.53712
  -4.73934
  -4.41635
  -3.14307
  -4.40370
Metropolis acceptance rate for gamma = 0.24401



MCMCoprobit iteration 830001 of 1050000 
beta = 
   3.77341
   0.98057
   3.99330
  -1.30570
   1.61073
   1.62632
   0.78694
  -0.05952
   1.75346
   2.30674
   0.05731
   2.17504
  -0.03975
   0.38233
   1.25253
   2.46267
   1.13446
  -0.65136
   0.93315
   0.06454
   1.28403
   1.97859
   2.38258
   0.57375
  -3.42748
  -2.36317
  -3.12348
  -3.47487
  -1.70632
  -2.72342
  -4.00627
  -3.13972
  -4.28474
  -4.04152
  -3.27736
  -3.67473
  -4.19280
  -4.56709
  -3.91718
  -4.33743
  -2.36216
  -3.68345
  -2.82380
  -2.67314
  -3.93208
  -3.92986
  -2.18100
  -3.89636
Metropolis acceptance rate for gamma = 0.24405



MCMCoprobit iteration 840001 of 1050000 
beta = 
   4.12051
   0.80633
   3.87232
  -0.73630
   1.69546
   1.43955
   0.79159
  -0.31216
   1.56591
   2.27034
   0.01105
   2.07749
  -0.27382
   0.08735
   0.91744
   2.06612
   1.43530
  -0.77990
   0.42281
   0.58114
   0.66989
   1.54788
   2.20769
   0.26136
  -3.69063
  -2.87494
  -3.04715
  -3.99920
  -2.09229
  -2.41703
  -4.31845
  -3.27835
  -4.45748
  -4.51060
  -4.03642
  -3.58863
  -4.74330
  -5.20649
  -4.45851
  -4.64997
  -2.53133
  -4.17294
  -3.11788
  -2.66350
  -4.59901
  -4.08785
  -2.44680
  -3.79378
Metropolis acceptance rate for gamma = 0.24395



MCMCoprobit iteration 850001 of 1050000 
beta = 
   4.01667
   0.35399
   3.67729
  -1.15210
   1.40815
   1.02438
   0.58036
  -0.81779
   1.07299
   1.85777
  -0.25237
   2.14568
   0.08801
   0.41911
   0.54178
   1.89260
   1.11808
  -0.61684
  -0.32529
   0.22210
   0.61059
   1.47475
   1.63907
   0.75430
  -3.50869
  -2.79588
  -3.06470
  -3.72300
  -1.37440
  -2.35524
  -4.02176
  -3.49734
  -4.80110
  -4.10554
  -4.09596
  -4.26288
  -4.86862
  -5.32205
  -4.41708
  -4.40767
  -2.21524
  -3.73069
  -2.93619
  -2.48345
  -4.38594
  -4.21450
  -2.78784
  -3.61830
Metropolis acceptance rate for gamma = 0.24405



MCMCoprobit iteration 860001 of 1050000 
beta = 
   4.13130
   0.67197
   3.56556
  -1.17640
   1.79265
   1.50903
   0.86415
  -0.41141
   1.45990
   2.28011
  -0.12293
   2.42434
  -0.54373
   0.49459
   1.09800
   2.21882
   0.82286
  -1.04007
   0.30867
   0.17334
   0.92779
   1.12379
   2.14452
   0.71601
  -3.80659
  -2.80945
  -3.41287
  -4.11557
  -2.16058
  -3.15155
  -4.12675
  -4.04022
  -4.59288
  -4.46771
  -4.05061
  -4.02208
  -4.70760
  -5.68941
  -4.25872
  -4.24854
  -2.43550
  -4.17720
  -3.32939
  -3.02920
  -4.19648
  -4.17535
  -2.97018
  -3.91326
Metropolis acceptance rate for gamma = 0.24409



MCMCoprobit iteration 870001 of 1050000 
beta = 
   4.00291
   0.36670
   3.75967
  -1.28348
   1.36893
   1.46098
   0.77764
  -0.76122
   1.24442
   1.68153
   0.05922
   2.21924
  -0.40701
   0.34298
   0.62080
   1.93457
   1.06302
  -0.98513
   0.13041
   0.13160
   0.80847
   1.56212
   2.11800
   0.37767
  -3.60534
  -2.51758
  -3.24374
  -3.33867
  -2.00757
  -2.59257
  -4.17608
  -3.74648
  -4.80109
  -4.59121
  -3.48912
  -4.32321
  -5.31061
  -6.04781
  -4.00006
  -4.42843
  -3.26563
  -3.54166
  -2.95034
  -3.31451
  -4.50450
  -4.00189
  -2.41432
  -3.80140
Metropolis acceptance rate for gamma = 0.24419



MCMCoprobit iteration 880001 of 1050000 
beta = 
   4.16878
   0.58518
   3.48995
  -0.98689
   1.57482
   1.38560
   0.48198
  -0.55593
   0.95576
   1.67586
  -0.67482
   1.76853
  -0.38369
   0.15544
   1.10933
   2.27382
   1.23749
  -0.80942
   0.24229
   0.19053
   0.39702
   1.38497
   1.97823
   0.47854
  -3.43026
  -3.16830
  -3.55186
  -3.53258
  -2.44495
  -2.63171
  -4.70831
  -4.22692
  -4.78741
  -4.32149
  -4.59349
  -4.09030
  -5.22857
  -5.07914
  -4.27859
  -4.57117
  -2.62132
  -4.34701
  -2.84095
  -2.99674
  -4.35780
  -3.89992
  -2.81101
  -4.31513
Metropolis acceptance rate for gamma = 0.24416



MCMCoprobit iteration 890001 of 1050000 
beta = 
   4.13848
   0.35150
   3.33543
  -1.46380
   1.88045
   1.28912
   0.55345
  -0.21332
   1.58254
   2.35066
  -0.52863
   2.06640
  -0.22288
   0.37003
   0.56164
   1.79816
   1.03658
  -0.85657
   0.55130
  -0.18525
   0.91621
   1.84804
   2.22726
   0.85603
  -3.85520
  -3.07707
  -2.80636
  -4.25750
  -1.96376
  -2.57756
  -4.22199
  -3.55842
  -4.67169
  -4.42483
  -3.93018
  -3.94425
  -5.19174
  -5.37406
  -4.00781
  -4.53637
  -2.61780
  -4.42633
  -3.40940
  -2.81553
  -4.18181
  -3.94880
  -2.29519
  -3.64484
Metropolis acceptance rate for gamma = 0.24420



MCMCoprobit iteration 900001 of 1050000 
beta = 
   3.91812
   0.50968
   3.70860
  -0.87932
   2.34997
   1.78275
   1.05436
  -0.07480
   1.89604
   2.26815
   0.28037
   1.95798
   0.11470
   0.88220
   1.17875
   2.56306
   1.23035
  -0.23067
   0.79556
   0.55009
   1.30738
   1.75742
   2.15326
   1.05065
  -3.54623
  -2.34577
  -3.18589
  -3.59149
  -1.66392
  -2.41807
  -3.97536
  -3.90148
  -4.46312
  -3.89319
  -3.99480
  -3.84168
  -4.98092
  -5.70498
  -3.48878
  -4.84280
  -2.16649
  -3.76041
  -2.97634
  -2.40590
  -4.49222
  -4.44985
  -2.28869
  -3.82740
Metropolis acceptance rate for gamma = 0.24414



MCMCoprobit iteration 910001 of 1050000 
beta = 
   3.75748
   0.83042
   3.42715
  -0.91468
   1.13370
   1.11916
   0.53039
  -0.29685
   1.22099
   2.38337
  -0.16555
   2.05637
  -0.34535
   0.66993
   1.06529
   2.55755
   1.13243
  -1.04602
   0.29380
   0.69329
   0.59888
   1.42332
   1.97742
   0.46269
  -2.80111
  -2.61918
  -2.81346
  -3.24929
  -1.62134
  -2.54098
  -3.85278
  -3.05086
  -4.13235
  -4.34059
  -3.84866
  -3.49809
  -4.98845
  -5.65821
  -3.60408
  -4.45693
  -2.11223
  -3.53806
  -2.94943
  -2.80557
  -3.72621
  -4.30720
  -2.03172
  -3.05043
Metropolis acceptance rate for gamma = 0.24411



MCMCoprobit iteration 920001 of 1050000 
beta = 
   4.21432
   0.55108
   3.33220
  -1.40529
   1.18404
   1.40667
   0.26456
  -1.08705
   1.24614
   2.40000
  -0.22705
   1.90510
  -0.28267
   0.15054
   0.83033
   2.54656
   1.24321
  -0.75131
   0.03939
   0.28042
   0.46567
   1.40212
   1.58773
   0.12041
  -4.07431
  -2.46382
  -3.72640
  -4.12495
  -2.52659
  -2.84131
  -4.42172
  -3.84985
  -4.50975
  -4.58202
  -4.45989
  -4.09622
  -4.89378
  -5.56169
  -4.13149
  -4.28876
  -2.86478
  -4.10965
  -3.27964
  -2.75134
  -4.17668
  -4.57619
  -2.90960
  -3.68165
Metropolis acceptance rate for gamma = 0.24410



MCMCoprobit iteration 930001 of 1050000 
beta = 
   4.00167
   0.39699
   3.20940
  -0.93265
   1.34512
   1.54589
   0.74348
  -0.78386
   1.15663
   2.06821
  -0.53770
   1.78937
  -0.25066
   0.31051
   0.52068
   2.50215
   1.30262
  -0.54061
  -0.23882
   0.18696
   0.92022
   1.90685
   1.87761
   0.64119
  -4.07675
  -3.36787
  -3.04516
  -3.68483
  -2.34255
  -2.52102
  -4.10391
  -3.31773
  -4.37209
  -4.31856
  -3.53579
  -3.94591
  -5.42916
  -5.51942
  -3.99336
  -4.39378
  -2.65822
  -4.11453
  -2.96126
  -2.76941
  -3.92778
  -4.12996
  -2.76781
  -3.76059
Metropolis acceptance rate for gamma = 0.24410



MCMCoprobit iteration 940001 of 1050000 
beta = 
   4.11625
   0.78572
   4.11014
  -1.00241
   1.79122
   1.44019
   1.04211
  -0.69127
   1.33279
   2.05503
  -0.16830
   1.94064
   0.30439
   0.06513
   1.13841
   2.08909
   1.20420
  -0.81009
   0.19501
  -0.03584
   0.77709
   2.24127
   1.95178
   0.91464
  -3.47894
  -2.91594
  -3.19744
  -4.30007
  -1.68609
  -2.49296
  -3.98805
  -3.73458
  -4.61088
  -4.11765
  -3.73053
  -4.39764
  -5.18105
  -5.01647
  -4.13283
  -4.61308
  -2.38774
  -4.38998
  -3.28625
  -2.49330
  -4.35137
  -5.03147
  -2.57846
  -4.17722
Metropolis acceptance rate for gamma = 0.24410



MCMCoprobit iteration 950001 of 1050000 
beta = 
   4.11603
   0.87810
   3.76362
  -1.14181
   1.89122
   1.80791
   1.01865
  -0.79386
   1.62177
   2.09759
  -0.53383
   2.52119
  -0.33390
   0.34266
   1.02700
   2.53302
   1.43060
  -0.92927
   0.55333
  -0.02233
   0.39869
   1.22707
   2.29747
   0.68312
  -3.59668
  -2.97547
  -2.97539
  -4.23540
  -1.25218
  -2.09558
  -4.56879
  -3.48754
  -4.49141
  -4.33179
  -4.32161
  -3.84420
  -4.80023
  -5.22785
  -3.57854
  -4.92618
  -2.77767
  -4.04450
  -3.27410
  -2.75627
  -4.33449
  -4.56257
  -2.66310
  -3.38369
Metropolis acceptance rate for gamma = 0.24405



MCMCoprobit iteration 960001 of 1050000 
beta = 
   4.20611
   0.24834
   4.30421
  -1.78332
   1.47222
   1.44300
   0.42150
  -0.56431
   1.11809
   2.17216
  -0.27923
   2.01648
  -0.25671
   0.13302
   0.70305
   2.03260
   0.91533
  -0.88176
  -0.26404
   0.04217
   0.71841
   1.80911
   2.07385
   0.41569
  -3.47833
  -3.09073
  -3.28197
  -3.70985
  -2.26845
  -2.80582
  -4.05632
  -3.84310
  -4.94484
  -4.70507
  -4.06640
  -4.15506
  -5.31202
  -5.10932
  -3.92435
  -4.64496
  -2.38002
  -4.20496
  -3.06068
  -3.15369
  -4.10638
  -4.22272
  -2.58784
  -3.77642
Metropolis acceptance rate for gamma = 0.24404



MCMCoprobit iteration 970001 of 1050000 
beta = 
   4.45657
  -0.34137
   2.95583
  -1.71684
   0.96803
   0.94431
   0.07553
  -0.96352
   0.79397
   1.76394
  -0.74492
   1.42500
  -0.58876
   0.16548
   0.58985
   2.05988
   1.06471
  -1.36321
  -0.64797
   0.17556
   0.57166
   1.32540
   1.73533
  -0.13407
  -4.55458
  -3.34546
  -3.33749
  -4.51498
  -2.57703
  -3.08886
  -4.86703
  -4.06663
  -5.12439
  -4.11718
  -3.92293
  -4.37231
  -5.69025
  -5.89581
  -4.62156
  -5.11373
  -3.37823
  -4.46226
  -3.38014
  -2.88276
  -4.75370
  -5.21975
  -2.99391
  -3.72173
Metropolis acceptance rate for gamma = 0.24402



MCMCoprobit iteration 980001 of 1050000 
beta = 
   3.78611
   0.24907
   3.81778
  -0.49714
   1.81111
   1.21786
   0.67790
  -0.63761
   1.18319
   2.17461
  -0.12282
   2.17892
  -0.23502
   0.01928
   1.20626
   2.23829
   1.13555
  -0.69325
   0.16941
   0.15305
   0.50532
   1.47416
   1.72390
   0.78066
  -3.47459
  -2.66820
  -2.68754
  -3.83730
  -1.65177
  -2.49032
  -3.70173
  -3.63853
  -4.38703
  -3.75767
  -3.25833
  -3.39219
  -4.55246
  -4.71987
  -3.37179
  -4.38056
  -2.50898
  -2.95646
  -2.67928
  -2.66748
  -4.43053
  -4.41308
  -2.41736
  -3.75449
Metropolis acceptance rate for gamma = 0.24405



MCMCoprobit iteration 990001 of 1050000 
beta = 
   4.42349
   0.42568
   3.66655
  -1.40176
   1.80230
   1.40232
   0.01051
  -0.56965
   0.45178
   1.66089
  -0.33656
   1.65845
  -0.84660
   0.17470
   0.34326
   1.88257
   1.08415
  -0.79533
  -0.15166
  -0.27274
   0.69967
   1.11328
   1.80120
   0.28135
  -3.95090
  -3.35552
  -3.34672
  -4.05193
  -2.18797
  -2.86010
  -4.79301
  -3.96446
  -5.28543
  -4.22210
  -3.78254
  -4.16178
  -5.26782
  -5.19447
  -4.33992
  -4.79557
  -2.62244
  -4.18762
  -3.42267
  -3.27860
  -5.21559
  -4.38909
  -3.23302
  -3.50186
Metropolis acceptance rate for gamma = 0.24406



MCMCoprobit iteration 1000001 of 1050000 
beta = 
   4.08756
   0.68664
   3.61565
  -1.30937
   1.10881
   0.82548
   0.77957
  -0.60664
   1.21968
   2.34610
  -0.38420
   1.76040
  -0.10251
  -0.04669
   1.03229
   2.19357
   1.10028
  -0.75569
  -0.15195
  -0.17267
   0.48493
   1.52304
   2.04777
   0.38238
  -3.70733
  -3.14435
  -3.34626
  -3.66407
  -2.16059
  -2.39485
  -4.13824
  -4.08397
  -4.46276
  -3.87539
  -3.63353
  -4.02196
  -5.23604
  -5.68702
  -4.21716
  -4.19003
  -1.99993
  -3.76390
  -3.22771
  -2.80538
  -4.78526
  -4.23757
  -2.31168
  -3.92040
Metropolis acceptance rate for gamma = 0.24404



MCMCoprobit iteration 1010001 of 1050000 
beta = 
   3.80521
   0.73573
   3.36501
  -0.62571
   1.59010
   1.04439
   0.25207
  -0.72662
   0.99392
   2.25643
  -0.17783
   1.74742
  -0.46414
   0.28058
   0.77163
   2.35482
   1.00822
  -0.59351
   0.28426
   0.24617
   0.58446
   1.32459
   2.13836
   0.45813
  -3.35789
  -2.61804
  -2.93528
  -3.43301
  -1.57782
  -2.47722
  -4.01905
  -3.43725
  -4.60902
  -3.97529
  -3.29968
  -3.98152
  -4.65691
  -4.80844
  -3.47787
  -4.27408
  -2.00296
  -4.06280
  -2.84358
  -2.59213
  -4.59952
  -3.33206
  -2.42701
  -3.51525
Metropolis acceptance rate for gamma = 0.24392



MCMCoprobit iteration 1020001 of 1050000 
beta = 
   4.34021
   0.15715
   3.62521
  -1.54034
   1.36736
   1.21481
   0.16745
  -0.89607
   1.14213
   1.23104
  -0.57020
   1.73263
  -0.40318
   0.22171
   0.36154
   1.78264
   0.81847
  -1.32762
  -0.05480
  -0.24079
   0.27210
   1.32604
   1.41369
   0.29395
  -4.28777
  -3.25256
  -3.62983
  -4.34090
  -2.19259
  -2.69381
  -4.34508
  -4.01326
  -4.69500
  -5.07944
  -4.09210
  -4.47276
  -5.30035
  -5.60745
  -4.13069
  -5.09810
  -3.02045
  -4.00014
  -3.34074
  -3.00608
  -4.95513
  -4.08641
  -2.92842
  -4.11980
Metropolis acceptance rate for gamma = 0.24389



MCMCoprobit iteration 1030001 of 1050000 
beta = 
   4.10039
   0.43703
   3.34902
  -1.55836
   1.50576
   1.27207
   0.24416
  -0.76947
   1.11774
   1.73104
  -0.51745
   1.56847
  -0.73105
   0.18747
   0.89506
   1.94913
   1.03412
  -1.49091
   0.28990
  -0.08948
   0.72149
   1.57016
   1.92632
   0.16097
  -3.65719
  -2.78436
  -2.66057
  -3.86369
  -2.24857
  -2.62457
  -4.48461
  -4.00022
  -4.77899
  -4.04590
  -3.88544
  -3.96516
  -5.41283
  -5.33493
  -3.47852
  -4.71474
  -2.17316
  -3.95309
  -3.07954
  -2.93647
  -3.93347
  -4.25039
  -2.84501
  -4.12843
Metropolis acceptance rate for gamma = 0.24392



MCMCoprobit iteration 1040001 of 1050000 
beta = 
   4.25172
   0.40450
   3.51885
  -1.26396
   1.67933
   1.37710
   0.55970
  -1.26530
   1.17097
   1.57496
  -0.32005
   1.63418
  -0.21130
  -0.10373
   0.80355
   2.30540
   0.95582
  -0.89903
  -0.53571
  -0.19981
   0.21386
   1.79448
   1.97076
   0.00470
  -4.06747
  -3.18167
  -2.87712
  -4.31704
  -1.90605
  -2.90565
  -4.52429
  -3.65593
  -4.64174
  -4.34997
  -3.82482
  -3.89303
  -4.58726
  -5.20466
  -4.13455
  -4.19245
  -3.32197
  -3.95203
  -3.31263
  -3.19432
  -4.40012
  -4.90259
  -2.41481
  -3.94265
Metropolis acceptance rate for gamma = 0.24378



@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
The Metropolis acceptance rate for beta was 0.24379
@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
> 
> 
> save(b1.M2.out, file="MM3.2.b1.M2.out.Rda")
> 
> proc.time()
    user   system  elapsed 
1148.001    5.774 1388.164 
